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Finding the Third Proportional to 402,284.81 and 607,527.84

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Solution

The third proportional to 402,284.81 and 607,527.84 is: 917,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,284.81 : 607,527.84 = 607,527.84 : x
  2. Step 2: Convert to fraction form
    402,284.81/607,527.84 = 607,527.84/x
  3. Step 3: Cross multiply
    402,284.81x = 607,527.84 × 607,527.84
  4. Step 4: Simplify right side
    402,284.81x = 369,090,080,931.52
  5. Step 5: Solve for x
    x = 369,090,080,931.52/402,284.81
  6. Step 6: Final answer
    x = 917,484.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.